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Bidirectional and Asymmetric Controlled Quantum Teleportation in the Three-dimensional System

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Abstract

In this paper, a novel scheme for bidirectional and asymmetric controlled quantum teleportation in the three-dimensional system via a nine-qutrit entangled state as the quantum channel is proposed. It means that Alice wants to transmit an unknown three-qutrit entangled state to Bob, at the same time, Bob wants to transmit an unknown two-qutrit entangled state to Alice under the control of the supervisor Charlie. The preparation of quantum channel becomes more realizable by introducing several auxiliary qutrits, which is the direct product state of a five-qutrit entangled state and a four-qutrit entangled state. In this scheme, both Alice and Bob can reconstruct desired states by performing three-dimensional Bell-state measurements, Controlled-NOT gates, Hadamard gates, and Weyl operations. At the end of this paper, the efficiency analysis of the scheme and some conclusions are presented. Compared with previous three-dimensional teleportation schemes, the proposed scheme can transmit more quantum information with higher intrinsic efficiency.

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Acknowledgements

This work is supported by the Open Fund of Anhui Key Laboratory of Mine Intelligent Equipment and Technology (Grant No. ZKSYS202204), the Talent Introduction Fund of Anhui University of Science and Technology (Grant No. 2021yjrc34), and the Scientific Research Fund of Anhui Provincial Education Department (Grant No. KJ2020A0301).

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Authors and Affiliations

  1. School of Computer Science and Engineering, Anhui University of Science and Technology, Huainan, 232001, Anhui, China

    She-Xiang Jiang & Jin Shi

  2. Anhui Key Laboratory of Mine Intelligent Equipment and Technology, Anhui University of Science and Technology, Huainan, 232001, Anhui, China

    She-Xiang Jiang

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  1. She-Xiang Jiang
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  2. Jin Shi
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Contributions

She-Xiang. Jiang. : Writing - Original Draft, Writing - Review & Editing, Formal analysis, Validation. Jin. Shi. : Writing - Original Draft, Data Curation, prepared figure 1, prepared table 1 and table 2. All authors wrote the main manuscript text and reviewed the manuscript.

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Correspondence to Jin Shi.

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Jiang, SX., Shi, J. Bidirectional and Asymmetric Controlled Quantum Teleportation in the Three-dimensional System. Int J Theor Phys 62, 250 (2023). https://doi.org/10.1007/s10773-023-05511-9

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